What is the length of the hypotenuse in a right-angled triangle with side lengths 5 cm and 12 cm?
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What is the result of adding vector a (2i + 3j - 4k) to vector b (-5i + 6j + 7k)?
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Question: Consider the function f(x) = x^2 - 4x + 3 defined on the closed interval [1, 5]. Determine if there exists an x in this interval such that f(x) attains an extreme value using the Extreme Value Theorem.